Yu -div(e(r,A) Vr) : f (r,A,t) ,
pour le stockage souterrain des déchets nucléaires, on essaie de résoudre Ie cas test Couplexl à I'aide des schémas boîte. On résoud l'équation de Darcy à I'aide d'un schéma boîte étudié sur des maillages en triangles. La résolution de l'écorrlement cles nr:cléides dans le sol est faite par !e schéma boîte ADL Ce tra, ail en ccurs est réalisé par J-M. Sac Epée qui réécrit en C++, les codes matlab des schémas boîte pour la rapidité de I'exécution ,
il sera intéressant de développer un schéma boîte plus précis, du type pschéma ,
augmentation de r9:0.505, pp.2-2 ,
raison schéma boîte (1.37) et p-schéma boîte (1.7S) p -l, T : 2.10-2 ,
Du : 0. On observe des oscillations dispersives, LTS ,
A Finite Volume Method with a Modified ENO Scheme using a Hermite Interpolation to solve Advection- Diffusion Equations, Int. J. Numer. Meth. Engng, vol.50, pp.2339-237, 2001. ,
Error bounds for finite elements method, Numer.Math ,
On the existence, uniqueness and approximation of saddle point problems, arising from Lagrangian multipliers, pp.322-333 ,
Finite Elements, 1997. ,
Two families of Mixed Finite Element for second order elliptic problems, Numer. Math, vol.47, pp.2-7, 1985. ,
The mathematical Theory of the Finite Element Method, 1994. ,
Generalized inf-sup conditions for Chebyshev spectral approximation of the Stokes problem, SIAM J. Numer.4nal, vol.256, pp.237-264, 1988. ,
Box-schemes for First Order Partial Differential Equations, Advaaces in Comp. Fluid Dynamics, pp.307-331, 1995. ,
Met,sr, A "box-scheme" for the Euler equations, Lecture Notes in Math, vol.1270, pp.82-99, 1987. ,
Comparing two approaches of analizing mixed finite volume methods, J. KSIAM,S, vol.1, pp.55-78, 2001. ,
Mixed finite volume methods on nonstaggered quadrilateral grids for elliptic problems, Mathematics of Computation, vol.72, issue.242 ,
DOI : 10.1090/S0025-5718-02-01426-6
Schémas à deux points pour la simulation numérique des écoulements, pp.2-46, 1990. ,
Etude d'une famille de schémas boîte à deux points et application à la dynamique des gaz monodimensionnelle, pp.3-44, 1991. ,
Schémas boîte en réseau triangulaire, p.992 ,
CRolsll,ln, Finite Volume Box Schemes on triangular meshes, Math. Model. and Num er, vol.325, pp.631-649, 1998. ,
Finite Volume Box Schemes and Mixed Methods, Math. Model. and Numer, vol.34, issue.5, pp.1087-1106, 2000. ,
Keller's box-scheme for the one-dimensional stationary convectiondiffusion equation, CoUPUTING, pp.37-63, 2002. ,
Un schéma boîte pour l'équation de convection-diffusion stationnaire !d, Préprint de I'Ilniversité de Met2, 2003. ,
GRutr'r, Some box-schemes for elliptic problems, Nurnerica] M+ thods for Partial Differential Bquations, pp.355-373, 2001. ,
A box scheme for convection-diffusion equations, Proc of the 3, 2002. ,
A box scheme for convection-diffusion equations with sharp contrast in the diffusion coefficients ,
Conforming and nonconforming finite element methods , for solving the stationary Stokes equations I, pp.33-76, 1973. ,
P-A. Ravrenr Introduction à I'analyse numérique des équations aux dérivées partielles ,
A general formulation of alternating direction methods; Part I. Parabolic and hyperbolic problems, pp.428-453 ,
On the numerical solution of heat conduction pro blems in two and three space variables. Tnens, oF THE AMER, pp.42-439, 1956. ,
Approximation by quadrilateral finite elements, Mathematics of computation, vol.71, issue.239, pp.909-922, 2002. ,
On first and second order box schemes, Computing, pp.277-296, 1989. ,
A non-conforming piecewise quadratic finite element on triangles, Int. J. Num. meth. Etg, vol.19, pp.505-520, 1983. ,
A non-conforming mixed finite element for second order elliptic problems, 1997. ,
Experience with the patch test for convergence of finite element, The Mathematical Foundations of the Finite Element Method with Applications to Partial Differential Equations, pp.557-588 ,
On the derivation of the modified equation for the analysis of linear numerical methods, Math. Model. and Numer, vol.37, issue.4, pp.459-470, 1997. ,
About a "natural" mixed finite element method;relation with classical methods and applications. Talk at the ENUMATH 99, 1999. ,
Finite difierence methods for solving the 2D convectiondiffusion equation, Int. Jour. Numer. Meth. Flu, issue.9, pp.75-98, 1989. ,
The numerical solution of parabolic and elliptic differential equations, Journal of the Society for Industrial and Applied Mathematics, vol.3, pp.28-32, 1955. ,
Simple Nonconforming Quadrilateral Stokes Element, Numer. Meth. Partial Ditr. Equations, vol.8, pp.97-111, 1992. ,
A mixed finite element method for 2nd order elliptic problems, Lecture Notes in Math, vol.606, pp.292-295 ,
Finite Difference Schemes and Partial Differential Equations, 1989. ,
An analysis of the Finite Element Method, 1973. ,
The streamline-diffusion method for nonconforming tht elements on rectangular tensor-product meshes, IMA Journal of Numerical Analysis, vol.2, pp.21-42, 2001. ,
An investigation of Spatial and Temporal Weighting Schemes for use in Unstructured Mesh Control Volume Finite Element Methods, 10th Comp. Tech. App. Conf, 2001. ,
Application of compact difference schemes to the conservative Euler equations for one-dimensional flows, NASA Teeh. Mem, vol.83262, 1982. ,
Implicit conservative schemes for the Euler equations, AIAA J, vol.24, issue.2, pp.2-5, 1986. ,